21 citations · 103 across the 19 of their papers we have counts for
4 papers · 1 filter
Stretching and Rotation of Planar Quasiconformal Mappings on a Line
Olli Hirviniemi, István Prause, Eero Saksman
In this article, we examine stretching and rotation of planar quasiconformal mappings on a line. We show that for almost every point on the line, the set of complex stretching expo…
Gradient variational problems in
Richard Kenyon, István Prause
We prove a new integrability principle for gradient variational problems in , showing that solutions are explicitly parameterized by -harmonic functions, that is,…
Dimer Models and Conformal Structures
Kari Astala, Erik Duse, István Prause +1
In this work we study the variational problem associated to dimer models, a class of models from integrable probability and statistical mechanics in dimension two which have been t…
Localized Regularity of Planar Maps of Finite Distortion
Olli Hirviniemi, István Prause, Eero Saksman
In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the c…